Image analysis by analogy with Taylor expansion

  • Authors:
  • Hongbo Liu;Ye Ji;Xiukun Wang

  • Affiliations:
  • Dalian University of Technology;Dalian University of Technology;Dalian University of Technology

  • Venue:
  • Proceedings of the 20th spring conference on Computer graphics
  • Year:
  • 2004

Quantified Score

Hi-index 0.00

Visualization

Abstract

The Taylor expansion has shown - in many fields - to be an extremely powerful tool. In this paper, we investigated image features and their relationships by analogy with Taylor expansion. The kind of expansion could be used to investigate positions of image feature analysis and engraftment, such as transferring color between images. By analogy with Taylor expansion, we designed the image-rendering algorithm to find a best match in the source image by first and second-order information. The luminance histogram represents the first-order information of image, and the co-occurrence matrix represents the second-order information of image. Some results of our processing showed the algorithm worked very well. In our study, each polynomial in our analogy Taylor expansion of images was considered as one of image features, which makes us re-understand images and its features. It provided us a cue that the features of image, such as color, texture, dimension, time series, would be not isolated but mutual relational based on image expansion.